The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the graph. Ay 4. MAA 2- (Type an expression using x as the variable.)

Q: The figure below shows y = 2 sin (5x) and y = 2 sin (10x). e 1Y f(x) g(x) Which graph is y = 2 sin…

A: Given ,  The figure of y = 2 sin(5x)  and y = 2 sin(10x) Here ,  The graph of y = 2 sin(5x) is blue…

Q: Determine an equation of the form y=a cos bx or y= a sin bx, where b>0 for the given graph

A: Here, the graph is of cosine, the amplitude is 3, and period = pi/2. So, the equation become y=3…

Q: The y' of the given function is (1–2 sin? 4x) y

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Q: 2. Find the EXACT value of sin (P). 10 8.

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Q: If f(1)=3, f(1)=1, g(x)=cos x, and h(x)=[f(x)]/[g(x)], then what is h'(1)? Round to the nearest…

A: The given mathematical expression is the derivative, which can be determined with the help of…

Q: Determine a possible equation of the following sine graph. O A. y=sin(2T(x+2)) O B. y=4sin(x+2) O C.…

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Q: V17 Find all possible values of cos(0). 9. Let sin(0)

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Q: 11. Write the equation for the sine function shown below. (c) y- -4 sin 20 (d) y- 4 sın 80 (a) y - 4…

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Q: Evaluate the expression under the given conditions. cos(e - ); cos(0) = , e in Quadrant IV, tan(P)…

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Q: Find a function of the form y A sin(kz) + C or y = A cos(kr) + C whose graph matches the function…

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Q: If the equation of motion of a particle is given by s = A cos(@t + 6), the particle is said to…

A: See below the answer and explanation

Q: 10* -dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants not equal to zero.…

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Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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Q: Find the value(s) of x in [0, 2n] for the given equation: cos?(x) - cos(x) - 2 = 0..

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: c. At what time does each vibration first reach a displacement of –2mm? d. Use the compound angle…

A: 1) x1=3.75sin100πt+2π9     x1=3.75(sin100πtcos2π9+cos100πtsin2π9)     x1=Asin100πt+Bcos100πt…

Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-22 -π2≤x≤π2 sin x=-22 multiply and divide by 12 sin x =12  sin x = π4 sin-1-22=π4

Q: What is the value of b that will result in a period of 90° for y =a sinb(x-c) +d? (A) (B) (C) 2 (D)…

A: Period of the transformation

Q: Find a function of the form y= A sin(kr) + Cor y= A cos(kr) +C whose graph matches the function…

A: Consider a sinusoidal function of the form, y = A sin(kx) + C               ...(1) Where,…

Q: ind the exact values of the following d-e and show your complete Solution. (Circular Function) d.…

A: d) cos420° can be calculated as, cos420°=cosπ180°×420°               =cos7π3               =cos2π+π3…

Q: Which graph shows a sine function with a a midline at y=2? 1.5나 0.5 ps 1 ais eso 0250 4 025 aso as i…

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Q: Write the given equation in the form y-k sin(x + a), where the measure of a is in degrees. y = -V2…

A: We can rewrite the function as:

Q: 4) cos 0 6V13

A: Topic- Trigonometry ratio

Q: 2r What is the value of cos (0) m the right triangle above?

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Q: a Sketch the graph of y = sine for 0° s 0 s 360°. %3D b Use your graph to solve the equation sin =…

A: The graph of y=sinθ for 0°≤θ≤360° is as follows

Q: (A) Discuss and sketch y = cos x for 0<x <27

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Q: 2. What is the exact value of sin 2x if cos x = (in Quadrant I)? 25 С. 24 D. 0 一五1

A: It is given that cosx=45

Q: Find a function of the form y = A sin(ka) + C or y = A cos(ka) + C whose graph matches the function…

A: Consider the function is: y = A sin(kx) + C From the graph,  the maximum value of the function is: 7…

Q: Find a function of the form y A sin(kz) + C or y = A cos(kz) + C whose graph matches this one: -43…

A: Equation of graph

Q: 10* -dx may be written as A lnl secR+ tan R+ C, where A, B, and C are constants not equal to zero.…

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Q: Find all solutions to the following equation on the interval [0, 27]. .cOS X

A: Here, we need to find the solutions to πcosx=π. So,…

Q: 1 s¯¹(x) 2 cos √1-x² -dx

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Q: 4) cos 0 6. 18 12V2

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Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

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Q: Find the value of the trig function indicated. COs 6 O 2V5 V5 2 O None of the other answers are…

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Q: Solve the equation for e if 0° s e < 360°. (Enter your answers as a comma-separated list.) sin 20 +…

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Q: If f(1)=3, f(1)=1,g(x)=cos x, and h(x)=[{x)]/[g{x)], then what is h'(1)? Round to the nearest…

A: To find h'(1)

Q: 3. Use the diagram below to complete the table. y 3 х (A Coordinates of A sin 3 cos 4 tan 3

A: Given angle lies in the 3rd Quadrant

Q: For numbers 34-36: Find the equation of the sine or cosine function whose graph is given. Hint: the…

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Q: A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds,…

A: Given: The ball's distance, d in inches from its rest position is d=-4 cos π3t. Find t for d=-2.

Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero.…

A: Solution:

Q: Given the graphs of y = sinx and y =e* - 3 in the Figure Q1(e). Find the root of sinx=e* - 3. y 15 +…

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Q: Q1/ Answer the following: (a) Show that sin¬'x + cos-1x x(x-y) ), where- -> -1 y(x+y) (b) Find the…

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Q: 5) cos 0 22 11 V3 11

A: The given triangle is a right angled triangle.

Q: 513 Find for the function y = cos² 3X + √Sin x

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Q: Solve the equation for e if 0° s e < 360°. (Enter your answers as a comma-separated list.) sin 20…

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Q: Find the value of the wig function indicated. Cos e 6.

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Q: 1. Answer the question by comparing the equation, f(x) = 2 cos + =)- + 3to the equation, 27 f()…

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Q: A ball on a spring is pulled 6 inches below its rest position and then released. After t seconds,…

A: we have been given that a ball on a spring is pulled 6 inches below  its rest position and then…

Q: The function w(e) - 4 cos t). where t is the time of day in 24 bours, models the water level at…

A: The function f(x) is a rule that associates or fixes a number to a particular point x. If y=f(x),…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.